The Binomial Distribution

Usage

dbinom(x, size, prob)
pbinom(q, size, prob)
qbinom(p, size, prob)
rbinom(n, size, prob)

Arguments

x,q vector of quantiles.
p vector of probabilities.
n number of observations to generate.
size number of trials.
prob probability of success on each trial.

Description

These functions provide information about the binomial distribution with parameters size and prob. dbinom gives the density, pbinom gives the distribution function qbinom gives the quantile function and rbinom generates random deviates.

Details

The binomial distribution with size = n and prob = p has density

p(x) = Choose(n,x) p^x (1-p)^(n-x)

for x = 0, ..., n.

If an element of x is not integer, the result of dbinom is zero, with a warning.

See Also

dnbinom for the negative binomial, and dpois for the Poisson distribution.

Examples

# Compute P(45 < X < 55) for X Binomial(100,0.5)
sum(dbinom(46:54, 100, 0.5))


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